GCF of 501/64, 294/120
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 501/64, 294/120 i.e 3/960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 501/64, 294/120.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 501/64,294/120?
Given fractions are 501/64,294/120
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 501/64,294/120, numerators are 501,294
Denominators are 64,120
The GCF of 501,294 is 3 .
LCM of 64,120 is 960.
The greatest common factor of 501/64,294/120 = [GCF of 501,294]/[LCM of 64,120]= 3/960
Therefore, the GCF of 501/64,294/120 is 3/960.
To find the highest common factor of 501,294, we have to find the factors of both numbers and list the highest common factor.
The factors of 501 are 1, 3, 167, 501
The factors of 294 are 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
The HCF of 501,294 is 3.
Lets's calculate GCF of 501,294
| 3 | 501, 294 |
| 167, 98 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 501,294 By Matching Biggest Common Factor Method
Now, list down the factors of 501
:1,3,167,501
Now, list down the factors of 294
:1,2,3,6,7,14,21,42,49,98,147,294
Greatest Common Factor
We found the factors 501,294 . The biggest common factor number is the GCF number.
So the greatest common factor 501,294 is 3.
Lets's calculate LCM of 64,120
| 2 | 64, 120 |
| 2 | 32, 60 |
| 2 | 16, 30 |
| 8, 15 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 8 x 15 = 960
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/960
Therefore, the GCF of Fractions 501/64,294/120 is 3/960
Least Common Multiple of 64,120 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 64,120 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(64,120) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(64,120) x common factors =8 x 1 = 8
LCM(64,120) = ( 64 × 120 ) / 8
LCM(64,120) = 7680 / 8
LCM(64,120) = 960
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FAQs on GCF of Fractions of 501/64, 294/120
1. What is the HCF of 501,294?
The HCF of 501,294 is 3
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 501/64, 294/120?
Answer: GCF of Numerators as per given numbers 501/64, 294/120 is
GCF of Numerators i.e. for 501,294 is 3
LCM of denominators i.e. for 64,120 is 960.
Thus, GCF of Fractions is 3/960.Finally, GCF of Fractions for 501/64, 294/120 is 3/960.